Not tried with a Sora or anythin as low as 22T, but with older Tiagra triple FD, any 105 triple FD up to a 5703, or even the rare Campag triples, you can certainly get down to 26T. I've had several bikes running 50/38/26 triple.
I'd be surprised if the Sora was any less capable, but as Brucey suggests, for the cost of the FD (and the return if sell it again on fleabay in almost unused condition) it's definitely worth trying with your current chainset.